% Thesis Acknowledgements ------------------------------------------------


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I would particularly like to thank my advisor, Rajmohan Rajaraman, for
his careful proofreading and thoughtful comments as well as for
serving on my thesis committee and collaborating throughout this
research effort. I am also very grateful to Ravi Sundaram for his
contributions to my research as well as serving on my committee, and
to my co-authors on these related topics: V.S. Anil Kumar, Gopal
Pandurangan, David Peleg, Chinmoy Dutta, and Bernhard Haeupler. I'd
also like to thank my other committee members: Emanuele Viola, who
taught me many of the techniques and tools I used in this research,
and Devavrat Shah, who gave very helpful comments on both proposal and
thesis. Finally, I like to thank my family and friends for their
supports throughout my education.

\junk{
I would like to acknowledge the thousands of individuals who have coded for the LaTeX project for free. It is due to their efforts that we can generate professionally typeset PDFs now.
}

\end{acknowledgements}
%\end{acknowledgmentslong}

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